Comparison Theorems for the Eigenvalue Gap of Schrödinger Operators on the Real Line-Reference-Cited by-同舟云学术

Comparison Theorems for the Eigenvalue Gap of Schrödinger Operators on the Real Line

Published:2011-07-01 Issue:1 Volume:13 Page:85-101
ISSN:1424-0637
Container-title:Annales Henri Poincaré
language:en
Short-container-title:Ann. Henri Poincaré

Author:

Chen Duo-Yuan,Huang Min-Jei

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00023-011-0126-z.pdf

Reference11 articles.

1. Abramovich S.: The gap between the first two eigenvalues of a one-dimensional Schrödinger operator with symmetric potential. Proc. Am. Math. Soc. 111, 451–453 (1991)

2. Agrawal R., Varma V.: Rational potential using a modified Hill determinant method. Phys. Rev. A 48, 1921–1928 (1993)

3. Ashbaugh M., Benguria R.: Optimal lower bound for the gap between the first two eigenvalues of one-dimensional Schrödinger operators with symmetric single-well potentials. Proc. Am. Math. Soc. 105, 419–424 (1989)

4. Ashbaugh M., Benguria R.: Optimal bounds for ratios of eigenvalues of one-dimensional Schrödinger operators with Dirichlet boundary conditions and positive potentials. Commun. Math. Phys. 124, 403–415 (1989)

5. Berezin F., Shubin M.: The Schrödinger Equation. Kluwer Academic Publishers, Dordrecht (1991)

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